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Finding the Fourth Proportional to 5,237.74, 7,228.02 and 2,879.74

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Solution

The fourth proportional to 5,237.74, 7,228.02 and 2,879.74 is: 3,974.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.74 : 7,228.02 = 2,879.74 : x
  2. Step 2: Convert to fraction form
    5,237.74/7,228.02 = 2,879.74/x
  3. Step 3: Cross multiply
    5,237.74x = 7,228.02 × 2,879.74
  4. Step 4: Simplify right side
    5,237.74x = 20,814,818.31
  5. Step 5: Solve for x
    x = 20,814,818.31/5,237.74
  6. Step 6: Final answer
    x = 3,974.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.